Thanks Garth, I'm aware of the risk that the essence of the question may be blurred by my using incorrect semantics. Your comments were very clarifying!
But I have to admit that I'm left with the feeling of you giving me a great lesson yet not getting an answer to my wondering ...
If I understand correctly, you mean that block time is not considered to have any physical significance, but it's just an artifact, like a graph to help understanding relativity?
I will try to be concise about the issue which I do not understand. No need to involve the future, to make it easier I will put the question into the past.
An event A (let's say for example, we launch a rocket Apollo X to outer space) happens in Earth's year 1950 (I think it was 1969, but for simplicity of figures :-).
Another event B (let's say the light from a supernova in the constellation of Virgo arrives to the Earth and we emit a radio signal recording the event) happens in Earth year 1990.
(I'm not sure if the possibility exists that such 2 events may not be causally related, but if not, just replace my examples by 2 events which are not causally related)
Now, I think according to relativity, some hypotetical observer could receive the radio signal announcing the supernova (event B) before seeing the Apollo rocket leaving the Earth (event A). Of course the time stamps 1950 and 1990 are not valid for him, he would label B at an earlier date than A according to his clock / calendar.
Now the question:
when we were on Earth's year 1970 we were certain that we had launched Apollo X in 1950, yet we hadn't seen any supernova in Virgo at all. If someone would tell us that 20 years later we will emit a radio signal to record the sight of a supernova, we would probably say: "hey man, you can not know the future, we can't know what we're going to be doing after 20 years !"
On the other hand, even if we could not communicate with our hypotetical 2nd observer, we can reasonably believe that at some time in his calendar, he had received a radio signal from Earth announcing a supernova in Virgo, yet he had not seen any Apollo X rocket being launched from earth.
But as soon as he saw the Apollo X launch, he had knowledge of both events.
From his frame, the Earth radio announcing a supernova sight was as real as the Apollo X being launched.
Now, do we have any privileged condition versus the 2nd observer? obviously not.
Then, when we were back in 1970, were we right if we questioned or denied that in 1990 we will witness a supernova in Virgo?
Of couse we didn't know then, we just knew we did launch Apollo X rocket in 1950.
But must not we admit that some hypotetical observer, having seen the launch of the Apollo X, was also certain that we eventually must see a supernova and emit a radio signal? (as from his frame, he saw that happening before the Apollo launch)